On \(G\)-invex multiobjective programming. I: Optimality
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Publication:1029669
DOI10.1007/s10898-008-9299-5zbMath1191.90052OpenAlexW1983666584MaRDI QIDQ1029669
Publication date: 13 July 2009
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-008-9299-5
multiobjective programming\(G\)-Karush-Kuhn-Tucker necessary optimality conditions(weak) Pareto optimal solution(strictly) \(G\)-invex vector function with respect to \(\eta\)Kuhn-Tucker constraint qualification
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)
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Cites Work
- Unnamed Item
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- The essence of invexity
- New optimality conditions and duality results of \(G\) type in differentiable mathematical programming
- Optimality conditions in multiobjective differentiable programming
- On sufficiency of the Kuhn-Tucker conditions
- Necessary conditions for optimality of nondifferentiable convex multiobjective programming
- Maximal vectors and multi-objective optimization
- Invex functions and generalized convexity in multiobjective programming
- Optimality criteria and duality in multiple-objective optimization involving generalized invexity
- \((p,r)\)-invexity in multiobjective programming.
- Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces
- Proper efficiency and the theory of vector maximization
- What is invexity?
- Necessary and sufficient conditions in constrained optimization
- Invex functions and constrained local minima
- On generalised convex mathematical programming
- The Notion of V-r-Invexity in Differentiable Multiobjective Programming
- Nonlinear Programming
- \((p,r)\)-invex sets and functions
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